The following 2 part video takes you through the steps of graphing a quadratic function without an xy tree.
The method is
1. Solve for and graph the roots. (Use the quadratic formula, zero product property, or extract the roots. The video uses the quadratic formula.
2. Find the and graph the vertex. (Use the vertex formula)
3. Graph the axis of symmetry. (Use the axis of symmetry formula)
4. Graph the y-intercept.
5. Reflect the y-intercept over he axis of symmetry.